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Finding the Fourth Proportional to 493,981.06, 681,685 and 279,116.54

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Solution

The fourth proportional to 493,981.06, 681,685 and 279,116.54 is: 385,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,981.06 : 681,685 = 279,116.54 : x
  2. Step 2: Convert to fraction form
    493,981.06/681,685 = 279,116.54/x
  3. Step 3: Cross multiply
    493,981.06x = 681,685 × 279,116.54
  4. Step 4: Simplify right side
    493,981.06x = 190,269,558,569.90
  5. Step 5: Solve for x
    x = 190,269,558,569.90/493,981.06
  6. Step 6: Final answer
    x = 385,175.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.